A defeasible logic for modelling policy-based intentions and motivational attitudes

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Author(s)
Governatori, Guido
Padmanabhan, Vineet
Rotolo, Antonino
Sattar, Abdul
Griffith University Author(s)
Year published
2009
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In this paper we show how defeasible logic could formally account for the non-monotonic properties involved in motivational attitudes like intention and obligation. Usually, normal modal operators are used to represent such attitudes wherein classical logical consequence and the rule of necessitation comes into play, i.e., ?A/? ?A, that is from ?A derive ? ?A. This means that such formalisms are affected by the Logical Omniscience problem. We show that policy-based intentions exhibit non-monotonic behaviour which could be captured through a non-monotonic system like defeasible logic. To this end we outline a defeasible logic ...
View more >In this paper we show how defeasible logic could formally account for the non-monotonic properties involved in motivational attitudes like intention and obligation. Usually, normal modal operators are used to represent such attitudes wherein classical logical consequence and the rule of necessitation comes into play, i.e., ?A/? ?A, that is from ?A derive ? ?A. This means that such formalisms are affected by the Logical Omniscience problem. We show that policy-based intentions exhibit non-monotonic behaviour which could be captured through a non-monotonic system like defeasible logic. To this end we outline a defeasible logic of intention that specifies how modalities can be introduced and manipulated in a non-monotonic setting without giving rise to the problem of logical omniscience. In a similar way we show how to add deontic modalities defeasibly and how to integrate them with other motivational attitudes like beliefs and goals. Finally we show that the basic aspect of the BOID architecture is captured by this extended framework.
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View more >In this paper we show how defeasible logic could formally account for the non-monotonic properties involved in motivational attitudes like intention and obligation. Usually, normal modal operators are used to represent such attitudes wherein classical logical consequence and the rule of necessitation comes into play, i.e., ?A/? ?A, that is from ?A derive ? ?A. This means that such formalisms are affected by the Logical Omniscience problem. We show that policy-based intentions exhibit non-monotonic behaviour which could be captured through a non-monotonic system like defeasible logic. To this end we outline a defeasible logic of intention that specifies how modalities can be introduced and manipulated in a non-monotonic setting without giving rise to the problem of logical omniscience. In a similar way we show how to add deontic modalities defeasibly and how to integrate them with other motivational attitudes like beliefs and goals. Finally we show that the basic aspect of the BOID architecture is captured by this extended framework.
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Journal Title
Logic Journal of the IGPL
Volume
17
Issue
3
Copyright Statement
© 2009 Oxford University Press. This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Logic Journal of the IGPL following peer review. The definitive publisher-authenticated version A defeasible logic for modelling policy-based intentions and motivational attitudes, Logic Journal of the IGPL, Volume 17, Issue 3, Pages 227–265, 2009 is available online at: https://doi.org/10.1093/jigpal/jzp006.
Subject
Pure mathematics
Mathematical logic, set theory, lattices and universal algebra
Theory of computation